Calculations in exceptional groups, an update.
type: Item
instance of: scholarly article
title: Calculations in exceptional groups, an update.
zbMATH Open document ID: 1328.20066
published in: Journal of Mathematical Sciences (New York)
publication date: 2015-10-29T00:00:00Z
Mathematics Subject Classification ID: 20G41
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 6501799
zbMATH Keywords: exceptional Chevalley groups
zbMATH Keywords: microweight representations
zbMATH Keywords: adjoint representations
author: A. Yu. Luzgarev
author: Nikolai Vavilov
MaRDI profile type: Publication
full work available at URL: s10958-015-2538-7
OpenAlex ID: W1936404367
cites work: Local-global principle for congruence subgroups of Chevalley groups.
cites work: Some multilinear forms with large isometry groups
cites work: Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian
cites work: Extensions of Chevalley groups
cites work: Groupes reductifs
cites work: Groups of type E7.
cites work: Automorphisms of Chevalley groups of different types over commutative rings.
cites work: The octic E8 invariant
cites work: The fifty-six-dimensional module for \(E_ 7\). I: A four form for \(E_ 7\)
cites work: Exceptional Lie Algebras and Related Algebraic and Geometric Structures
cites work: \(K_{1}\) of Chevalley groups are nilpotent
cites work: SIMPLE GROUPS STABILIZING POLYNOMIALS
cites work: Relative subgroups in Chevalley groups
cites work: The yoga of commutators.
cites work: The yoga of commutators: further applications.
cites work: Commutator width in Chevalley groups.
cites work: Relative commutator calculus in Chevalley groups.
cites work: Generation of relative commutator subgroups in Chevalley groups.
cites work: Q4155073
cites work: Centralizer of the elementary subgroup of an isotropic reductive group.
cites work: Another presentation for symplectic Steinberg groups
cites work: A System of Quadrics Describing the Orbit of the Highest Weight Vector
cites work: On the subgroup structure of exceptional groups of Lie type
cites work: On simply laced Lie algebras and their minuscule representations
cites work: Fourth-degree invariants for \(G(\mathrm E_7,R)\) not depending on the characteristic.
cites work: Elementary subgroups of isotropic reductive groups
cites work: Elementary subgroup of an isotropic reductive group is perfect.
cites work: Sur les sous-groupes arithmétiques des groupes semi-simples déployés
cites work: Q4271237
cites work: Surjective stability for the \(K_ 1\)-functor for some exponential Chevalley groups
cites work: On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)
cites work: Visual Basic Representations
cites work: Q5638468
cites work: The maximal subgroups of classical algebraic groups
cites work: Improved stability for the odd-dimensional orthogonal group
cites work: Homotopy invariance of non-stable K1-functors
cites work: Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings
cites work: Non-stable \(K_1\)-functors of multiloop groups
cites work: Q4187969
cites work: Q5167064
cites work: Structure of Chevalley groups over rings via universal localization.
cites work: Quillen's solution of Serre's Problem
cites work: Decomposition of transvections: A theme with variations
cites work: On the length of commutators in Chevalley groups.
cites work: ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
cites work: Q4271238
cites work: A third look at weight diagrams
cites work: AN A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7
cites work: Can one see the signs of structure constants?
cites work: Weight elements of Chevalley groups
cites work: Numerology of square equations
cites work: Some more exceptional numerology.
cites work: \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). II: Main lemma.
cites work: An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$
cites work: More variations on the decomposition of transvections.
cites work: Normalizer of the Chevalley group of type ${\mathrm E}_6$
cites work: Chevalley groups of type \(E_7\) in the 56-dimensional representation.
cites work: Q3444771
cites work: Calculations in exceptional groups over rings.
cites work: $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$
cites work: Chevalley groups over commutative rings. I: Elementary calculations
cites work: Q4712641

Calculations in exceptional groups, an update. (cites work)
cites work: Automorphisms of \(\det (X_{ij}):\) The group scheme approach

Calculations in exceptional groups, an update. (DOI)
DOI: 10.1007/S10958-015-2538-7